Science 10
Motion
Velocity Problems
1. What is the average velocity (in km/h) of a car that traveled a total of 75 km in 1.4 hours? v =
75 km/1.4h = 53.6 km/h
2. What is the average velocity (in km/h) of a plane that traveled 3000.0 km in 4.90 hours? v =
3000km/4.9h = 612 km/h
3. John took 45 minutes to bicycle to his grandmother’s house, a total of 4.0 km. What was his
average velocity in km/h? t = 45min = 0.75h v = 4.0km/0.75 h = 5.3km/h
4. It took 3.5 hours for a train to travel the distance between two cities at a constant velocity of
120.0 km/h. How far apart (in km) are the two cities? d= 120km/h x 3.5h = 420km
5. How long, in h, would it take for a car to travel a distance of 200.0 km if it is traveling at a
constant velocity of 55.0 km/h? t = 200km/55 km/h = 3.6 h
6. A car is traveling at a constant velocity of 100.0 km/h. How many hours will it take to cover a
distance of 750.0 km? t = 750km/100km/h = 7.5 h
7. A plane traveled for about 2.5 hours at a constant velocity of 1200.0 km/h. What distance, in
km, did it travel? d = 2.5h x 1200 km/h = 3000km
8. A girl is pedaling her bicycle at a constant velocity of 0.10 km/min. How far, in km, will she
travel in 2.0 hours? t = 2.0h = 120min d = 120min x 0.10km/min = 12 km
9. A high school athlete runs 100.0 m in 12.20 s. What is the athlete’s average velocity, in m/s? v
= 100m/12.2s = 8.2 m/s
10. A person walks 13 km in 2.0 h. What is the person’s average velocity speed in km/h? v =
13km/2.0h = 6.5 km/h
11. Suppose a car travels at a constant velocity of 10.0 m/s. How far, in m, would it move in 1.00
h? d = 10m/s x 3600s = 36000 m
12. A train leaves the station at the 0.0 m marker traveling with a constant velocity of 36.0 m/s.
How many seconds later will the train pass the 1620.0 m marker? t = 1620m/36m/s = 45 s
13. In the 1988 Summer Olympics, Florence Griffith Joyner won the 100.0 m race in 10.54 s. What
was her average velocity speed in m/s? v = 100m/10.54s = 9.5s
14. A high-velocity train travels from Paris to Lyons at an average velocity of 227 km/h. The trip
takes 2.05 h. How far, in km, is Lyons from Paris? d = 2.05h x 227km/h = 465 km
15. Light from the Sun reaches the Earth in 8.30 min. The velocity of light is 3.00 × 10 8 m/s. How
far, in km, is the Earth from the Sun? t = 8.3min x 60sec/min = 498s
d = 498s x 3.00 × 108 m/s = 1.494 × 1011 m = 1.494 × 108 km *this is harder than the test
16. You and a friend each drive to Halifax, a distance of 100.0 km. You travel at the speed limit
of 100.0 km/h, your friend speeds at 110.0 km/h. How long, in hours, will your friend wait for
you at the end of the trip?
Your time: t = 100km/100km/h = 1 h
Your friend t = 100km/110km/h = 0.91 h
Your friend will wait for you 0.09h
17. Ann is driving down a street at a constant velocity of 55 km/h. Suddenly a child runs into the
street. If it takes Ann 0.75 s to react and apply the brakes, how many meters will she have
moved before she begins to slow down? *harder than the test
t = 0.75s x 1 h/3600s = 2.08 × 10-4h
d = 2.08 × 10-4h x 55km/h = 0.0114km = 11.4m
18. 0.30 s after seeing a puff of smoke rise from the starter’s pistol, the sound of the firing of the
pistol is heard by the track timer 100.0 m away. What is the speed of sound, in m/s? v =
100m/0.30s = 333 m/s
19. Light travels at 3.00 × 108 m/s. How many seconds go by from the moment the starter’s pistol
is shot until the track timer sees the smoke 100.0 m away?
t = 100m/3.00 × 108 m/s = 3.33 × 10-7s
20. A bullet is fired with a constant velocity of 720.0 m/s. What time, in s, is required for the bullet
to strike a target 324 m away? t = 324m / 720m/s = 0.45s
Science 10
Motion
Position-Time Graphs
100
100
80
80
position (m)
position (m)
1. For each of the following graphs, calculate the average velocity during each interval of the
graph. Remember to show all of your work and reasoning.
60
40
20
60
40
20
0
0
0
2
4
6
8
10
0
2
4
time (s)
50
8
10
6
8
10
20
15
position (m)
40
position (m)
6
time (s)
30
20
10
10
5
0
-5 0
2
4
-10
0
0
2
4
6
time (s)
8
10
-15
time (s)
20
15
15
10
5
0
-5 0
2
4
6
8
10
position (m)
position (m)
20
10
5
0
-5 0
2
4
6
-10
-10
-15
-20
-15
time (s)
time (s)
8
10